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Finding the Fourth Proportional to 71,071.14, 97,987.78 and 50,330

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Solution

The fourth proportional to 71,071.14, 97,987.78 and 50,330 is: 69,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,071.14 : 97,987.78 = 50,330 : x
  2. Step 2: Convert to fraction form
    71,071.14/97,987.78 = 50,330/x
  3. Step 3: Cross multiply
    71,071.14x = 97,987.78 × 50,330
  4. Step 4: Simplify right side
    71,071.14x = 4,931,724,967.40
  5. Step 5: Solve for x
    x = 4,931,724,967.40/71,071.14
  6. Step 6: Final answer
    x = 69,391.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.